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On Randers metrics with isotropic S-curvature
Authors:Zhong Min Shen  Hao Xing
Institution:(1) Department of Mathematics, IUPUI, Indianapolis, IN 46202-3216, USA;(2) Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
Abstract:In this paper, we study a class of Finsler metrics defined by a vector field on a Riemannian space form. We give an explicit formula for those with isotropic S-curvature. This class contains all Randers metrics of constant flag curvature. Supported by the National Natural Science Foundation of China (10371138)
Keywords:Randers metrics  S-curvature
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